Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel

被引：24
|
作者：
Chatibi, Y. [1 ,2 ]
El Kinani, E. H. [1 ,2 ]
Ouhadan, A. [2 ,3 ]
机构：
[1] Univ Moulay Ismail, Ecole Natl Super Arts & Metiers, Marjane 2, BP 15290, Meknes, Morocco
[2] Equipe Modelisat Math & Calcul Sci, Kenitra, Morocco
[3] Ctr Reg Metiers Educ & Format, BP 255, Fes Meknes, Morocco
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 118卷
关键词：
Fractional derivative; Variational problems; Mittag-Leffler function; Euler-Lagrange equation; CHAOS;
D O I：
10.1016/j.chaos.2018.11.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we proved the necessary optimality conditions of Euler-Lagrange type of variational problems in which variational functional depends on Atangana-Baleanu derivative. The obtained results are illustrated by some examples. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：117 / 121
页数：5
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